54240000 has 180 divisors, whose sum is σ = 181985496. Its totient is φ = 14336000.

The previous prime is 54239993. The next prime is 54240001. The reversal of 54240000 is 4245.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (54240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479944 + ... + 480056.

Almost surely, 2^54240000 is an apocalyptic number.

54240000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90992748).

54240000 is an abundant number, since it is smaller than the sum of its proper divisors (127745496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54240000 is an equidigital number, since it uses as much as digits as its factorization.

54240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 54240000 is about 7364.7810558088. The cubic root of 54240000 is about 378.5354523442.

Adding to 54240000 its reverse (4245), we get a palindrome (54244245).

It can be divided in two parts, 54 and 240000, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 54240000 in words is "fifty-four million, two hundred forty thousand".